**Now revised;**

http://a-theory-of-nothingness.blogspot.com/2006/11/mirror-set-rev-1.html

Mirror Set of order n is the (n+1)*(n+1) matrix quotient set;

Mn=Mnkl=Ek/Hl, (k,l)=0,...,n

M6 seems interesting with the following main diagonal state quotients and proposed mappings to elementary particles;

SE0/SH0=1 ... Higgs?

SE1/SH1=1/2 ... Light

SE2/SH2=1/2 ... Weak

SE3/SH3=3/2 ... Quarks

SE4/SH4=18 ... Leptons

SE5/SH5=1080 ... Space-Time-like?

SE6/SH6=388800 ... Mass-Gravity-like?

The digits of 4,5,6 all add to multiples of 9.

388800/1080=360

1080/18=60

18/3/2=12

3/2/1/2=3

1/2/1/2=1

1/2/1=1/2

3/2 is the symmetry of quarks and equal tempered tuning.

Quarks come in 3 generations and 2 types;

{{u,d},{c,s},{t,b}}

I put 3/2 in the middle and proposed M6 since energy seems to be balanced around quarks. This balancing is achieved by the large mass ratio Mp/Me=1836.

When the state quotient is expressed more explicitely it becomes clearer;

E3/H3={,{},{,{}}}/{,{,{,{}}}}

SE3/SH3=3!2!1!0!/2^3=12/8=3*2*2/2*2*2=3/2

There is 2*2*3 ness (3 generations, 2*2 types) and 2*2*2 ness (3 color/anti-color pairs) at the same time.

18=2*3*3 is the number for leptons.

Leptons also come in 3 generations and 2 types;

{{e,ve},{m,vm},{t,vt}}

18 is pretty obvious in the periodic table, displaying the 18-slot lepton wrapping of the nucleus.

6 is is kinda explained but how about 3*6=18, why does it get multiplied by 3?

Maybe leptons are satisfying the color multiplicity of quarks.

1/2 is degenerate curiously.

The first 1/2 has to be light, electric and magnetic together make one unit.

The second 1/2 then stands for weak, with W+,Z0,W-.

The degeneracy may stand for the realtively easy light-weak unification.

1 must be Higgs which is assumed to be scalar and not detected yet.

I made a guess about what the other two are, 1080 and 388800, space-time-like and mass-gravity-like.

Gravity seems to be a deeper field as black hole theories suggest.

Space-Time stop at the event horizon but Mass-Gravity don't.

Putting quarks in the middle suggests the couplings;

{Higgs,Mass-Gravity}

{Light,Space-Time}

{Weak,Leptons}

Weak-Lepton coupling is observed in the decay of neutron;

n->p+e+ve

Light-Space-Time coupling is pretty obvious.

We define Space-Time with light.

Higgs-Mass-Gravity coupling remains to be seen.

## No comments:

Post a Comment